Do photons have mass and how does it affect their existence?

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    Mass Photons
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SUMMARY

Photons are massless particles that exist as quantum objects of the electromagnetic field, possessing energy and momentum but no invariant mass. Despite their lack of mass, photons cannot escape black holes due to the curvature of spacetime, which alters their paths. Einstein's equation, e² = m²c⁴ + p²c², confirms that for photons, the mass term is zero, leading to the simplified relation e = pc. This understanding is crucial for grasping the behavior of light in extreme gravitational fields.

PREREQUISITES
  • Understanding of Einstein's equations, particularly e² = m²c⁴ + p²c²
  • Basic knowledge of quantum mechanics and the nature of photons
  • Familiarity with general relativity and the concept of spacetime curvature
  • Awareness of the electromagnetic field and its properties
NEXT STEPS
  • Study Einstein's theory of relativity and its implications for massless particles
  • Explore the concept of spacetime and its effects on light propagation in black holes
  • Investigate quantum mechanics, focusing on the properties of photons as quantum objects
  • Read about the implications of energy and momentum in the context of massless particles
USEFUL FOR

Students of physics, researchers in quantum mechanics, and anyone interested in the fundamental properties of light and its interaction with gravity.

superkraken
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this is the first time I am learning about photons and i have asmall doubt.
if photons are massless then how come light dosent escape from black holes.
or if they do have mass the by the eqn m=m0/(1-V2/c2)then theyll have infinite mass and turning on a torch may be like getting hit by a bullet train.so how do photons actually exist.with mass or without it?
 
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superkraken said:
if photons are massless then how come light dosent escape from black holes.

Because they still exist in spacetime and thus have to follow the appropriate paths through spacetime. A black hole bends spacetime in such a way that ALL paths through spacetime lead further into the black hole.

That's a bare minimum explanation, and if you want to know more I encourage you to look into relativity.

superkraken said:
so how do photons actually exist.with mass or without it?

They have no mass, but they still have energy and momentum. Einstein's full equation is: e2 = m2c4 + p2c2

The term which includes mass is zero for photons, but the second is not, and reduces to: e=pc
 
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superkraken said:
this is the first time I am learning about photons and i have asmall doubt.
if photons are massless then how come light dosent escape from black holes.
or if they do have mass the by the eqn m=m0/(1-V2/c2)then theyll have infinite mass and turning on a torch may be like getting hit by a bullet train.so how do photons actually exist.with mass or without it?

Photons are quantum objects, elementary lumps of energy of the electromagnetic field. As of such, they have a hard time sharing classical particle properties (like position). If one still adopts a quantum particle interpretation of the uni-photon states, then these objects are massless, i.e. zero invariant mass.
When one forcibly puts photons in black holes, they do escape, as far as I know.
 

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